Question

The population of a town 4 years ago was 50,000

Answer 1

Answer:

population will be 79806.

Step-by-step explanation:

Population of a town 4 years ago  was 50,000

Population of town had grown exponentially and present population is 63,124.

So the formula of the population growth will be

$A_{n}=A_{o}(r)^{n-1}$

Where $A_{n}$ = Final population n = number of years.

           $A_{o}$ = Initial population

           r = rate of increase in population per year.

so  63124 = 50,000 $(r)^{4-1}$

$r^{3}=\frac{63124}{50000}= 1.26428$

$r=(1.26428)^{\frac{1}{3} }$

= 1.0813

Now we have to find the population after 4 years from now.

$A_{n}$ =  $63124(1.08)^{4-1}$

       =  $63124(1.08)^{3}$

       = 63124 × 1.264

       = 79806

Therefore, after 4 years from now population will be 79806.